The sum of two consecutive even integers is 16 less than three times the larger number. Find the integers.​

x is greater than eleven thirds.

Inequality are expression that have <, > , ≤ and ≥ .

Therefore,

1 / 5 (5x) + 10 + 5x > 32

Hence,

1 / 5 × 5x + 10 + 5x > 32

x + 10 + 5x >32

combine like terms

x + 10 + 5x >32

x + 5x + 10 > 32

Therefore,

x + 5x + 10 > 32

6x + 10 > 32

subtract 10 from both sides

6x + 10 - 10 > 32 - 10

6x > 22

divide both sides by 6

x > 22 / 6

x > 11 / 3

Therefore, x is greater than eleven thirds.

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Answer:

S&U or option B

Step-by-step explanation:

I can't do the fancy symbols

Answer:B

Step-by-step explanation:USA Test prep

Answer:

the meal cost $25.8 in total.

Step-by-step explanation:

9% of 20 is 1.8

20% of 20 is 4

20 + 1.8 + 4 = 25.8

May I have brainliest please? :)

Answer:

21

Step-by-step explanation:

10-(3×2²-23) = 21

10- -11

10+11=21

(1+10²)=101

2²×5²=100

101-100=1

²¹/1 = 21

Answer:

12

Step-by-step explanation:

Type Into Calculator:

SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER

The value of P(10) is 0.11 to ensure that the given distribution is a valid probability distribution.

To determine the value of P(10) so that the given distribution is valid, we need to ensure that the sum of all the probabilities equals 1.

Given:

X: 5, 10, 20, 30, 40, 50

P(X): 0.13, P(10), 0.11, 0.14, 0.21, 0.3

We know that the sum of the probabilities should be equal to 1.

Sum of probabilities = 0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3

To find the value of P(10), we can set up the equation:

0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3 = 1

Simplifying the equation:

P(10) + 0.89 = 1

Subtracting 0.89 from both sides:

P(10) = 1 - 0.89

P(10) = 0.11

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Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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Answer:

if c = 4, it is 1/4 of a

Step-by-step explanation:

if c = 4,

b = c + 4 = 4 + 4 = 8

b = 8

a = b + 12 = 8 + 12 = 20

20/4 = 5

if c = 4, it is 1/4 of a

To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.

To calculate the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.

Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.

Next, we calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62

Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38

Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.

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the margin of error for this confidence interval is 0.85. This means that we can be 98% confident that the true difference in mean scores between nontraditional math classes and traditional math classes is between 1.798 and 4.198, with a margin of error of 0.85.

To find the margin of error for a confidence interval, we can use the formula:

Margin of error = (Upper bound of interval - Lower bound of interval) / 2

In this case, the upper bound of the confidence interval is 4.198 and the lower bound is 1.798. So, we have:

Margin of error = (4.198 - 1.798) / 2

= 1.7 / 2

= 0.85

what is margin?

Margin can have different meanings depending on the context, but in general, it refers to the amount by which one quantity or value differs from another quantity or value.

In finance, margin refers to the amount of money or collateral required to trade in a particular market or asset, such as stocks or futures. It also refers to the difference between the current market value of an asset and the amount of money borrowed to buy that asset.

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The equation that represents the function shown on the graph is (d) y = 4x

The graph that completes the question is added as an attachment

On the graph, we have the following ordered pairs

Line starts at (0. 0) and through (2, 8), (4, 16), then end at (5, 20)

These ordered pairs are

(x, y) = (0. 0), (2, 8), (4, 16), (5, 20)

The ordered pair (0, 0) implies that the line passes through the origin

This means that the equation can be represented as

y = Y/X * x

Where

(X, Y) = any of (2, 8), (4, 16), (5, 20)

So, we have

y = 8/2 * x

Evaluate the quotient

y = 4 * x

This gives

y = 4x

Hence, the equation is (d) y = 4x

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Answer: d

Step-by-step explanation:

yw

Answer:

3

Step-by-step explanation:

Negative reciprocal of -1/3 is negating negative one third making poisitve 1/3, Reciprocal is 3. RULE IS NEGATIVE RECIPROCAL

Answer:

3

Step-by-step explanation:

Answer:15(6)+15=13

Step-by-step explanation:

The domain and range of the inverse relation are {2, 3, 5, 7, 8} for both.

The given relation consists of the points 2, 3, 5, 7, and 8. To find the domain and range of the inverse relation, we need to swap the x-values with the y-values. The resulting set of values will represent the domain and range of the inverse relation.

In the given relation, the x-values are 2, 3, 5, 7, and 8, and the corresponding y-values are not provided. To find the inverse relation, we swap the x-values with the y-values.
After swapping the values, we obtain the following set of points: (2, 2), (3, 3), (5, 5), (7, 7), and (8, 8). These points represent the inverse relation.
The domain of the inverse relation is the set of x-values from the swapped points, which is {2, 3, 5, 7, 8}. This means that these are the values for which there exist corresponding y-values in the original relation.
Similarly, the range of the inverse relation is the set of y-values from the swapped points, which is also {2, 3, 5, 7, 8}. These are the values that correspond to the x-values in the original relation.
Therefore, the domain and range of the inverse relation are {2, 3, 5, 7, 8} for both.

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Answer:

y=x-3

Step-by-step explanation:

The slope is just x, and the y intercept will be one over from (1,-2) which is (0,-3), so -3 is the starting point.

The probability that a randomly selected Visa card issued by the Bank of Connecticut has a balance between $900 and $1430 is approximately 0.4082, or 40.82%.

To find the probability that a randomly selected Visa card issued by the Bank of Connecticut has a balance between $900 and $1430, we need to standardize the values and use the standard normal distribution.

First, we calculate the z-scores for the given values using the formula:

z = (x - μ) / σ

where x is the given value, μ is the mean, and σ is the standard deviation. For $900, the z-score is (900 - 845) / 275 = 0.2, and for $1430, the z-score is (1430 - 845) / 275 = 2.15.

Next, we use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. The area represents the probability.

Using the table or calculator, the probability of a z-score between 0.2 and 2.15 is approximately 0.4082.

Therefore, the probability that a randomly selected Visa card issued by the Bank of Connecticut has a balance between $900 and $1430 is approximately 0.4082, or 40.82%. This means that there is a 40.82% chance of selecting a Visa card with a balance in this range.

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Answer:

Step-by-step explanation:

Rotations are easy when its multiples of 90 degrees; 90,180,270,360. Treat them like they’re a complex number like [x+yi]*i=[-y,xi] so rotating by 90 degrees and 180 is i squared [-1]! So [-3,2] rot90 is [-2,-3].

Reflection about the y=x line is change places. [x.y]=[y,x].

So [-2.-3] reflected about the y=x line is [-2.-3]=[-3.-2],

Compile a list of these transform is best practice technique in this area.

x→0 lim f(x) = 4.To find the limit of f(x) as x approaches 0, we need to evaluate the limits of the upper and lower bounds provided.

Given:
4 - x² ≤ f(x) ≤ cos(x) + 3

Taking the limit as x approaches 0 for each term, we have:
lim (4 - x²) as x→0 = 4 - (0)² = 4
lim (cos(x) + 3) as x→0 = cos(0) + 3 = 1 + 3 = 4

Since the upper and lower bounds have the same limit of 4 as x approaches 0, we can conclude that the limit of f(x) as x approaches 0 is also 4.

Therefore, x→0 lim f(x) = 4.

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Answer:

=408x3+1556x2−4008x+1564

Step-by-step explanation:\

(8x−4)(3x+17)(17x−23)

Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!

Answer:

336

Step-by-step explanation:

just took the test

The correct answer is 336.

By using the arrangement calculation formula:

⇒ \(A^{3}\)\(^{8}\)  

⇒ 8 × 7 × 6

⇒ 336

The correct answer is 336.

Remember that combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula NCR = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

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Answer:

XXXXXXXXXXXXXXXXXXXXXX

Step-by-step explanation:

Once you have followed these steps, you should be able to help the virologist conclusively decide what quantities a and b model by analyzing the given differential equations.

It seems that the specific functions a and b, as well as the differential equations, are not provided in your question. However, I can guide you on how to approach this problem using the given terms and general concepts.

A virologist studies the dynamics of infectious disease using mathematical models. The three quantities of interest are infected people (I), susceptible people (S), and immune people (R). Functions a and b will represent two of these three quantities. To determine which quantities a and b model, we can analyze the given differential equations and follow these steps:

Step 1: Identify the variables and their relationships
Look for the variables (S, I, and R) in the differential equations and analyze how they are related to each other. Determine if there are any rate constants or parameters that link the variables.

Step 2: Analyze the equations' behavior
Study the differential equations' behavior over time, considering different initial conditions. Observe if the equations exhibit any trends, such as an increase or decrease in the quantities.

Step 3: Compare the equations with known epidemic models
Compare the given differential equations with known epidemic models, such as the SIR model or the SEIR model. These models have well-defined equations that describe the rates of change for susceptible, infected, and immune individuals.

Step 4: Rule out alternatives
Based on your analysis, eliminate the alternatives that don't match the behavior exhibited by the differential equations. Ensure that your conclusion is supported by a logical argument.

Once you have followed these steps, you should be able to help the virologist conclusively decide what quantities a and b model by analyzing the given differential equations.

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Answer:

7x+11x=90

18x=90

x=5

one angle = 35 degrees

another angle = 55 degrees

Step-by-step explanation:

The answer is D . 8b+5

Step-by-step explanation:

I took The test Believe me

If the answer is wrong I am so so sorry but it is the right answer D

Answer:

The answer is "31.888".

Step-by-step explanation:

If their respective angles become congruent or the side lengths get a constant relation, they realize that two quadrilaterals are similar

EFGH is similar to IJKL  because of quadrilateral

\(\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888\)

Answer: total cost of an international call with a duration of 10 minutes is 5.70 dollars.

Step-by-step explanation:

The expression 2.20 +0.35x represents the total cost of an international call in dollars, as a function of the duration x in minutes.

It is composed of two parts:

The first part, 2.20$, represents the fixed cost of making an international call. This cost does not change regardless of the duration of the call.

The second part, 0.35x$, represents the variable cost of the call, which is based on the duration of the call in minutes. This cost increases with the duration of the call.

When x=10, it means the duration of the call is 10 minutes, so the variable cost of the call would be 0.35*10 = 3.5$

Therefore, the total cost of the international call with a duration of 10 minutes is 2.20 + 3.5 = 5.7$

It's important to notice that this equation represents the total cost of the call not just the variable cost, but also the fixed cost.

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The correct interpretation is that the total revenue generated at a production rate of 11 units is $368. The Correct option is:

d) None of the above.

The marginal revenue function R(x) represents the additional revenue generated by producing and selling one additional unit of a product. In this case, the marginal revenue function is given by R(x) = 500 - 12x.

The notation R(11) refers to evaluating the marginal revenue function at a production rate of 11 units, which means substituting x = 11 into the function. So, we have R(11) = 500 - 12(11) = 500 - 132 = 368.

The interpretation is that at a production rate of 11 units, the total revenue generated is $368.

This means that by producing and selling 11 units of the product, the company earns $368 in revenue.

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